Free Engineering Tool #034
Remaining Life from Vibration Trend
Estimate remaining useful life (RUL) based on vibration trending data. Project time to alarm and danger levels using linear, exponential, or power law growth models.
Results
Projected Vibration Levels
⚠️ Confidence Note: This estimate assumes the current growth pattern continues unchanged. Actual remaining life depends on fault mechanism, operating conditions, load changes, and maintenance actions. Use as guidance for planning — not as a guarantee. More data points and consistent measurement conditions improve accuracy.
Linear Growth Model
Assumes vibration increases at a constant rate:
Linear model is appropriate for gradual wear processes like unbalance growth from erosion or buildup.
Exponential Growth Model
Assumes vibration growth rate is proportional to current level (damage accelerates):
Exponential model best represents bearing degradation and fatigue crack propagation where damage creates more damage.
Power Law Model
Generalized model that can represent both sub-linear and super-linear growth:
Power law is useful for mixed degradation modes. The exponent p determines growth behavior: p<1 is decelerating, p=1 is linear, p>1 is accelerating.
Which Model to Choose?
| Model | Best For | Behavior |
|---|---|---|
| Linear | Gradual wear, erosion, buildup | Constant rate of change |
| Exponential | Bearing damage, crack growth | Accelerating — most conservative |
| Power Law | Mixed/unknown mechanisms | Flexible — adapts to data shape |
Practical Example
Given: V_baseline = 2.5 mm/s, V_current = 4.2 mm/s, elapsed = 90 days, alarm = 7.1 mm/s
Exponential model:
k = ln(4.2 / 2.5) / 90 = ln(1.68) / 90 = 0.5188 / 90 = 0.00577 /day
Time to alarm: t_alarm = ln(7.1 / 2.5) / 0.00577 = 1.0438 / 0.00577 = 181 days from baseline
Remaining = 181 – 90 = 91 days from now to alarm level
P-F Interval: The time between detectable fault initiation (P) and functional failure (F) determines how much warning you get. For rolling element bearings, the P-F interval is typically 1–9 months depending on speed, load, and lubrication conditions.
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